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Simplifying 6ab = 10abc Solving 6ab = 10abc Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10abc' to each side of the equation. 6ab + -10abc = 10abc + -10abc Combine like terms: 10abc + -10abc = 0 6ab + -10abc = 0 Factor out the Greatest Common Factor (GCF), '2ab'. 2ab(3 + -5c) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'ab' equal to zero and attempt to solve: Simplifying ab = 0 Solving ab = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ab = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(3 + -5c)' equal to zero and attempt to solve: Simplifying 3 + -5c = 0 Solving 3 + -5c = 0 Move all terms containing a to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5c = 0 + -3 -5c = 0 + -3 Combine like terms: 0 + -3 = -3 -5c = -3 Add '5c' to each side of the equation. -5c + 5c = -3 + 5c Combine like terms: -5c + 5c = 0 0 = -3 + 5c Simplifying 0 = -3 + 5c The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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